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152060408604 = 2232131275414729
BaseRepresentation
bin1000110110011110000…
…0011011001100011100
3112112111100111010010100
42031213200123030130
54442404431033404
6153504450141100
713662125101266
oct2154740331434
9475440433110
10152060408604
1159541155685
1225578881790
13114543b7750
147507292b36
153e4e925d39
hex236781b31c

152060408604 has 144 divisors (see below), whose sum is σ = 418061163520. Its totient is φ = 46323809280.

The previous prime is 152060408593. The next prime is 152060408627. The reversal of 152060408604 is 406804060251.

152060408604 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 6 + 0 + 40 + 8 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32152512 + ... + 32157240.

Almost surely, 2152060408604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152060408604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209030581760).

152060408604 is an abundant number, since it is smaller than the sum of its proper divisors (266000754916).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152060408604 is a wasteful number, since it uses less digits than its factorization.

152060408604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5420 (or 5415 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 152060408604 its reverse (406804060251), we get a palindrome (558864468855).

The spelling of 152060408604 in words is "one hundred fifty-two billion, sixty million, four hundred eight thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 381 468 508 541 762 1082 1143 1524 1623 1651 2164 2286 3246 3302 4572 4729 4869 4953 6492 6604 7033 9458 9738 9906 14066 14187 14859 18916 19476 19812 21099 28132 28374 29718 42198 42561 56748 59436 61477 63297 68707 84396 85122 122954 126594 137414 170244 184431 206121 245908 253188 274828 368862 412242 553293 600583 618363 737724 824484 893191 1106586 1201166 1236726 1786382 1801749 2213172 2402332 2473452 2558389 2679573 3572764 3603498 5116778 5359146 5405247 7206996 7675167 7807579 8038719 10233556 10718292 10810494 15350334 15615158 16077438 21620988 23025501 23422737 30700668 31230316 32154876 33259057 46051002 46845474 66518114 70268211 92102004 93690948 99777171 133036228 140536422 199554342 281072844 299331513 324915403 399108684 598663026 649830806 974746209 1197326052 1299661612 1949492418 2924238627 3898984836 4223900239 5848477254 8447800478 11696954508 12671700717 16895600956 25343401434 38015102151 50686802868 76030204302 152060408604